85093584426 has 64 divisors (see below), whose sum is σ = 197488938240. Its totient is φ = 27107847360.

The previous prime is 85093584409. The next prime is 85093584451. The reversal of 85093584426 is 62448539058.

85093584426 is a `hidden beast` number, since 8 + 50 + 9 + 3 + 584 + 4 + 2 + 6 = 666.

It is a super-2 number, since 2×85093584426² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1437796 + ... + 1495808.

It is an arithmetic number, because the mean of its divisors is an integer number (3085764660).

Almost surely, 2^85093584426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85093584426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98744469120).

85093584426 is an abundant number, since it is smaller than the sum of its proper divisors (112395353814).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85093584426 is a wasteful number, since it uses less digits than its factorization.

85093584426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59228 (or 59222 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 85093584426 in words is "eighty-five billion, ninety-three million, five hundred eighty-four thousand, four hundred twenty-six".